Answer:
x = ±
- 3
Explanation:
I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)
(x-3)(x+9)=27
Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)
x^2 + 9x - 3x - 27
(first+ inner + outer + last)
x^2 + 9x - 3x - 27 = 27
Combine like terms, and add 27 to both sides.
x^2 + 6x - 27 + 27 = 27 + 27
x^2 + 6x = 54
Let's complete the square, because factoring doesn't work, and because it's good practice.
x^2 + 6x + ___ = 54 + ____
In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.
x^2 + 6x + 9 = 54 + 9
Now we've got a perfect square factor:
(x + 3)^2 = 63
sqrt(x+3)^2 = 
x + 3 = ± 
x = ±
- 3
Answer:
P(X>5) = 0.857
Step-by-step explanation:
Let X
uniform(3.17)

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:


![P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%20%5CBig%20%5Bx%20%5CBig%20%5D%20%5E%7B17%7D_%7B5%7D)
![P(X > 5) =\dfrac{1}{14} [17-5]](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%5B17-5%5D)

P(X>5) = 0.857
8(2x-14)+13=4x-27
Use distribute property for the first one
16x-112+13=4x-27
16x-99=4x-27
12x=72
x=6. As a result, the value x is 6. Hope it help!
Manny would have $12 and Neil would have $6